proof-readability

proof-readability is a skill for Claude Code, Codex from flonat/flonat-research. It costs 50 tokens per session (6,429 once invoked), scanned A, original, MIT.

An editing pass that makes a mathematical proof easier to read after someone has already checked that its mathematics is correct.

In plain words
What is it for?
Use it to polish lemmas, theorems, proofs, or appendices in a mathematics paper.
Why use it?
It clarifies steps, references, and notation without changing the proof's meaning or conclusions.

Skill for Claude CodeCodex

Written for no agent in particular: nothing here depends on one. Also seen: $skill-name invocation.

Good fit Use it to polish lemmas, theorems, proofs, or appendices in a mathematics paper.

Compare 6 skills from other repositories ↓
Install with agentmods
npx agentmods add skills/flonat/flonat-research/proof-readability
Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

Any agent
npx skills add flonat/flonat-research --skill proof-readability
Clone the repo
git clone --depth 1 https://github.com/flonat/flonat-research

Made for: Claude Code, Codex.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for proof-readability

README.md
[![agentmods](https://agentmods.dev/badge/skills/flonat/flonat-research/proof-readability/github.svg)](https://agentmods.dev/skills/flonat/flonat-research/proof-readability)
Your own site
<a href="https://agentmods.dev/skills/flonat/flonat-research/proof-readability"><img src="https://agentmods.dev/badge/skills/flonat/flonat-research/proof-readability/github.svg" alt="Measured on agentmods" height="20"></a>

Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.

agentmods 80×15 button for proof-readability

Your own site · 80×15
<a href="https://agentmods.dev/skills/flonat/flonat-research/proof-readability"><img src="https://agentmods.dev/badge/skills/flonat/flonat-research/proof-readability.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 50 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 6,429 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe. Third-party audits
  • NVIDIA SkillSpector warn 7 Sept 2026
SkillSpector: 1 finding, up to medium

These are SkillSpector’s own severities. On a checked sample its high-severity flags on skills were ~96% false positives — a documented command, a public API, a “never do X” rule — so we show them as a caution to read, not a verdict. Why →

  • medium analysis-evasion · line 1
    Suspicious Unicode normalization or mixed-script content
    Fix: Review the flagged content for security risks. Ensure no credentials, secrets, or sensitive data are exposed.
How audits are shown
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.00050 $0.06429
Opus 5 $0.00025 $0.03214
Sonnet 5 $0.00010 $0.01286
Haiku 4.5 $0.00005 $0.00643

Measured 5d ago against content hash ff867d5c071a, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-09, from the pricing page.

Security

Grade A, and why

proof-readability scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 5d ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

skills/proof-readability/SKILL.md · 191 lines

How it starts

The opening of the file, as written. The whole thing — 191 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Author: Moran Koren, Ben-Gurion University of the Negev ([email protected]). Part of the Theorist Toolbox.

Proof readability

Relationship to proofread: proofread is a report-only, whole-paper prose checker (11 categories, never edits source). proof-readability edits in place, is proof-specific, runs only after a correctness gate, and holds a content-preservation invariant proofread does not. Audit a whole paper's prose → proofread; edit the exposition of a verified proof → proof-readability.

Edit verified proofs so a reader can follow them without reconstructing steps, chasing broken references, or decoding notation. This skill runs after a proof has been written (e.g., by math-proof) and after its correctness has been verified (by domain-reviewer, lean-check, or the user). It is an exposition pass, not a proving pass.

Position in the pipeline

math-proof  →  verification (domain-reviewer / lean-check / user)  →  proof-readability
   (correctness)              (acceptance)                  (exposition only)

The prime invariant: never change the mathematics. Every edit must be content-preserving — reorder, signpost, expand, annotate, rename consistently, fix references and typos. Do not strengthen, weaken, or "simplify" any claim; do not replace an argument with a different one; do not silently fill what you believe is a gap with new mathematics.

If you find an actual gap or error while editing, stop editing that proof and flag it. Report the suspect step precisely ("the inequality in Eq. (3) silently uses FOSD via Eq. (1); I cannot verify it from the stated assumptions") and route it back to the user (re-open the proof via math-proof, or verify the step via verify-math). A readability pass that quietly patches math defeats the verification that already happened.

Guiding principles

  • Minimize the reader's work (Lee): every edit is judged by whether it reduces what the reader must reconstruct, look up, or hold in memory.
  • Readers are human (Hwang): "We get tired, we forget, we skim when we should scan. Write accordingly." Judicious redundancy is expository error-correction, not padding; "mathematical prose should not be an access barrier a reader must overcome to prove their worthiness."
  • The detail criterion (Lee): omit a step only if it would be obvious to this audience how to fill it in; if it wasn't obvious to the writer at first, something needs to be said. Aim for "just enough to give the reader the Aha! experience that makes the rest obvious."
  • Be accurate even when imprecise (Hwang): informal glosses and intuition sentences must be literally defensible, not merely morally true.

Read the full file on GitHub · 191 lines

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 5d ago First seen · 191 lines · 50 tokens per session scan A ff867d5c071a

Subscribe to this mod's changes

proof-readability is a skill published in the GitHub repository flonat/flonat-research (132 stars, last pushed 14d ago), licensed MIT. It adds 50 tokens to every session and 6,429 once invoked, about $0.0003 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-09-03.

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